Least Common Multiple of 817/45, 263/54, 468/59

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/45, 263/54, 468/59 quickly i.e. 100559628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/45, 263/54, 468/59 is 100559628.

LCM(817/45, 263/54, 468/59) = 100559628

LCM of 817/45, 263/54, 468/59

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 817/45,263/54,468/59

Given numbers are 817/45,263/54,468/59

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 817,263,468

Least Common Multiple of Numerators i.e. LCM of 817,263,468 is 100559628.

GCF of Denominators means GCF of 45,54,59 as per the given fractions.

GCF of 45,54,59 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,263,468

LCM of Fractions 817/45,263/54,468/59 is 100559628

Given numbers has no common factors except 1. So, there LCM is their product i.e 100559628

Least Common Multiple of 817,263,468 with GCF Formula

Least Common Multiple of 817,263,468 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 817,263,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,263,468) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(817,263,468) x common factors =1 x 1 = 1

LCM(817,263,468) = ( 817 × 263 × 468 ) / 1

LCM(817,263,468) = 100559628 / 1

LCM(817,263,468) = 100559628


Lets's calculate GCF of 45,54,59

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100559628/1

Therefore the LCM of Fractions 817/45,263/54,468/59 is 100559628

Greatest Common Factor of 45,54,59 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,54,59 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Greatest Common Factor

We found the factors 45,54,59 . The biggest common factor number is the GCF number.
So the greatest common factor 45,54,59 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 817/45, 263/54, 468/59

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 817/45, 263/54, 468/59?

Answer: LCM of Numerators as per given numbers 817/45, 263/54, 468/59 is

LCM of Numerators i.e. for 817,263,468 is 100559628

GCF of denominators i.e. for 45,54,59 is 1.

Thus, LCM of Fractions is 100559628.Finally, LCM of Fractions for 817/45, 263/54, 468/59 is 100559628.